3. $$ \frac{6}{7}-\frac{2}{6}= $$

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UpStudy AI · Accepted Answer

To solve the subtraction of the two fractions $$ \frac{6}{7} - \frac{2}{6} $$, follow these steps:

1. **Find a Common Denominator:**
   
   - The denominators are 7 and 6.
   - The Least Common Denominator (LCD) of 7 and 6 is **42**.

2. **Convert Each Fraction to the Common Denominator:**

- $$ \frac{6}{7} = \frac{6 	imes 6}{7 	imes 6} = \frac{36}{42} $$
   - $$ \frac{2}{6} = \frac{2 	imes 7}{6 	imes 7} = \frac{14}{42} $$

3. **Subtract the Fractions:**

- $$ \frac{36}{42} - \frac{14}{42} = \frac{36 - 14}{42} = \frac{22}{42} $$

4. **Simplify the Result:**

- $$ \frac{22}{42} $$ can be simplified by dividing both the numerator and the denominator by **2**:
   - $$ \frac{22 \div 2}{42 \div 2} = \frac{11}{21} $$

**Final Answer:** $$ \frac{11}{21} $$
$$ \frac{11}{21} $$

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